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Finding the Third Proportional to 157,185,784,860 and 341,912,144,520

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Solution

The third proportional to 157,185,784,860 and 341,912,144,520 is: 743,730,832,113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,185,784,860 : 341,912,144,520 = 341,912,144,520 : x
  2. Step 2: Convert to fraction form
    157,185,784,860/341,912,144,520 = 341,912,144,520/x
  3. Step 3: Cross multiply
    157,185,784,860x = 341,912,144,520 × 341,912,144,520
  4. Step 4: Simplify right side
    157,185,784,860x = 116,903,914,570,265,374,228,480
  5. Step 5: Solve for x
    x = 116,903,914,570,265,374,228,480/157,185,784,860
  6. Step 6: Final answer
    x = 743,730,832,113.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.